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Clustered chimera states in delay-coupled oscillator systems
Gautam C Sethia1, Abhijit Sen, Fatihcan M Atay
1Institute for Plasma Research, Bhat, Gandhinagar 382 428, India. guatam@ipr.res.in
Physical Review Letters
|June 4, 2008
Summary
We discovered new clustered chimera states in coupled phase oscillators. Time delays induce phase clustering, offering new mechanisms for pattern formation in complex systems.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Network science
Background:
- Chimera states are complex patterns in networks of coupled oscillators.
- Understanding chimera state formation is crucial for various scientific fields.
Purpose of the Study:
- To investigate chimera states in a ring of phase oscillators with time-delayed and nonlocal coupling.
- To identify novel clustered chimera states and their formation mechanisms.
Main Methods:
- Simulations of coupled phase oscillators in a ring configuration.
- Analysis of time-delayed and spatially nonlocal coupling effects.
- Derivation and solution of a generalized functional self-consistency equation.
Main Results:
- Discovery of novel clustered chimera states.
- Observation of spatially distributed phase coherence separated by incoherence.
- Identification of antiphase relationships between adjacent coherent regions.
- Validation of time-delay induced phase clustering through theoretical analysis.
Conclusions:
- Time delays provide a mechanism for phase clustering in chimera states.
- The findings reveal a new route to cluster formation in oscillatory networks.
- These results have potential applications in various practical systems.
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